Boundary expansion for the Loewner-Nirenberg problem in domains with conic singularities

DOI10.1016/J.JFA.2021.109122zbMath1468.35073arXiv1806.07536OpenAlexW3170516559MaRDI QIDQ2039843

Xumin Jiang

Publication date: 5 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07536

zbMATH Keywords

asymptotic behaviorconic singularitiesLoewner-Nirenberg problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ On fully nonlinear Loewner-Nirenberg problem of Ricci curvature

Cites Work

• On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
• Boundary behaviors for Liouville's equation in planar singular domains
• Boundary behavior in the Loewner-Nirenberg problem
• The Loewner-Nirenberg problem in singular domains
• Optimal regularity of constant curvature graphs in hyperbolic space
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